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The Lyapunov stability in restricted problems of cosmic dynamics. (English)
Authors: Gadomski L., Grebenikov E., Jakubiak M., Kozak-Skoworodkin D.
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Abstract
Majority of cosmic dynamical problems are described by Hamiltonian systems. In this case the Lyapunov stability problem is the toughest problem of qualitative theory, but for two freedom degrees KAM--theory (Kolmogorov-Arnold-Moser methods) allows for the complete study [1-3]. For application of Arnold-Moser theorem [4] it is necessary to make finite sequence of Poincare-Birkhoff canonical transformations [5] for Hamiltonian normalization. With the help of Symbolic System "Mathematica" [6] we determine the conditions of Lyapunov stability and instability of equilibrium points of restricted n-body problems [7].University of Podlasie,
Siedlce, Poland
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Siedlce, Poland
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Fulltext
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Contents
- The mathematical legacy of C.S. Sibirsky. (English)
- The Lyapunov stability in restricted problems of cosmic dynamics. (English)
- A Lie algebra of a differential generalized FitzHugh-Nagumo system. (English)
- Quadratic systems with limit cycles of normal size. (English)
- Global attractors for V-monotone nonautonomous dinamical systems. (English)
- Wavelet analysis of nonlinear dynamical systems. (English)
- New constructive methods for analysis of resonant systems. (English)
- Note on multiple zeta-values. (English)
- CMC-surfaces, phi-geodesics and the Caratheodory conjecture. (English)
- Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
- Classification of quadratic systems with a symmetry center and simple infinite singular points. (English)
